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Finding the Fourth Proportional to 10,032.63, 15,047.23 and 3,010.74

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Solution

The fourth proportional to 10,032.63, 15,047.23 and 3,010.74 is: 4,515.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.63 : 15,047.23 = 3,010.74 : x
  2. Step 2: Convert to fraction form
    10,032.63/15,047.23 = 3,010.74/x
  3. Step 3: Cross multiply
    10,032.63x = 15,047.23 × 3,010.74
  4. Step 4: Simplify right side
    10,032.63x = 45,303,297.25
  5. Step 5: Solve for x
    x = 45,303,297.25/10,032.63
  6. Step 6: Final answer
    x = 4,515.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.